Dominic Michaelis's user avatar
Dominic Michaelis's user avatar
Dominic Michaelis's user avatar
Dominic Michaelis
  • Member for 11 years, 2 months
  • Last seen more than a week ago
38 votes
Accepted

Critiques on proof showing $\sqrt{12}$ is irrational.

28 votes

How to prove $\det \left(e^A\right) = e^{\operatorname{tr}(A)}$?

28 votes
Accepted

Find $\lim_{n \to \infty}\frac{\sin 1+2\sin \frac{1}{2}+\cdots+n\sin \frac{1}{n}}{n}$

25 votes

Could I be using proof by contradiction too much?

24 votes
Accepted

Why can the intersection of infinite open sets be closed?

22 votes

How do I show that a matrix is injective?

21 votes
Accepted

Difference between the Laurent and Taylor Series.

19 votes
Accepted

How to determine the exact value of $\sin(585^\circ)$?

16 votes
Accepted

Is there a short proof for the Intermediate Value Theorem

16 votes

The series $\sum_{n=1}^{+\infty}\frac{1}{1^2+2^2+\cdots+n^2}.$

14 votes

A symmetric matrix whose square is zero

14 votes

Why is it important to have a discrepancy between image and codomain?

13 votes

Difference between $\mathbb C$ and $\mathbb R^2$

13 votes
Accepted

Radius of convergence of a sum of power series

13 votes
Accepted

Does a function exist with the property $f(-n^2+3n+1)=(f(n))^2+1$?

12 votes

Prove $3|n(n+1)(n+2)$ by induction

11 votes

Examples of non-cyclic group with a cyclic automorphism group

11 votes

how to prove that$\sum_{n=1}^{\infty}{ n^4\over n!}=15e$

11 votes
Accepted

Example of a set $Y$ that has zero Lebesgue measure and a continuous function $f$ such that $f(Y)$ is not a set of zero Lebesgue measure.

11 votes
Accepted

What is the property that allows $5^{2x+1} = 5^2$ to become $2x+1 = 2$?

10 votes
Accepted

If $f$ is analytic where $f$ is represented as $f=g.h$ where $g$ is analytic . From here can we conclude that $h$ is analytic?

10 votes
Accepted

How to prove that $\lim\limits_{n\to\infty} \frac{n!}{n^2}$ diverges to infinity?

10 votes

Where are the values of the sine function coming from?

10 votes

$xy=1 \implies $minimum $x+y=$?

10 votes

Determinant of matrix exponential?

9 votes
Accepted

composition of continuous functions

9 votes
Accepted

How to evaluate $\sum\limits_{n=1}^{+\infty}\frac{1}{1^k+2^k+\cdots+n^k}$?

9 votes

Diagonalizable upper triangular matrices

8 votes

If $\sum_{n}A_n$ is convergent, then $\sum_{n} (-1)^{n} A_n$ is also convergent?

8 votes
Accepted

Is a $C^\infty $ function local monotone at a minimum?

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